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Finding the Fourth Proportional to 31,822.96, 47,735.72 and 8,449.60

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Solution

The fourth proportional to 31,822.96, 47,735.72 and 8,449.60 is: 12,674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,822.96 : 47,735.72 = 8,449.60 : x
  2. Step 2: Convert to fraction form
    31,822.96/47,735.72 = 8,449.60/x
  3. Step 3: Cross multiply
    31,822.96x = 47,735.72 × 8,449.60
  4. Step 4: Simplify right side
    31,822.96x = 403,347,739.71
  5. Step 5: Solve for x
    x = 403,347,739.71/31,822.96
  6. Step 6: Final answer
    x = 12,674.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.